Mike, while I don't know if the resources in your region, there is one thing I do know never to purchase on eBay again, refurbished (or really used) notebooks. Second hand notebooks were also once listed in Consumer Reports as one of the worst Top 10 purchases to make, and was supported by many facts. One of which would seem kind of unlikely for a business professional, on the other hand I know how some treated their free cars refurnished every three years. Many of these notebooks are slung in the rear seat, the trunk, as they're going from one meeting to the next (one reason why the Latitudes were popular, they'd take a beating), and like the cars & cell phones, they could care less, because they knew first off, that there was an IT team for a repair/replacement, secondly they'd get a new one every three years.
Then once the corporation traded up to new models, or lease on those expired, those would be sold in bulk to the highest bidder, often a middle agent to redistribute in smaller lots to eBay & other sellers. Then, finally sold to end users as 'off-lease' computers that had been cared for by a dedicated IT team, making it look the same as purchasing an off-lease company vehicle. While some will luck out and get a model from an employee who cared for as though their own, this is rare, and by far not the rule. Many (including myself) dogged these cars, flooring the accelerator at every stoplight & slamming on the brakes at the next, the only maintenance I had to perform was filling the car with fuel, with their card, of course. So with a new one coming in every three years, why baby it? On the other hand, we had a BYOD policy at my level, so of course I took care of my notebook, though had to have a different account for business than personal, with the data on a second partition, and this was when having a 40GiB HDD was a big deal, it was purchased at a bankruptcy auction with a 20GiB model for $500. Came with a carry case, extra power adapter, and though it had only 256MB RAM, I would later find out via a 3rd party source that Dell lied about the max RAM it would run. Their docs showed 1GB DDR (512MB x2), when in fact it would hold & run 2GB (1GB x2), which again, was a big deal in 2000, as many had as little as 128MB RAM installed on W2K/early XP computers.
BTW, that Dell lying cycle would repeat itself when my mother-in-law gave me a Dell Dimension 2400. Once again, their specs stated 1GB max, yet the Crucial System scanner stated 2GB & was right. Dell lies over & over again. Even installed a fake PCIe x4 socket in the XPS 8700. Physically it was one, electrically was a x1 socket & none of their 'Rockstars' had an answer. Finally a Dell 'liaison' came forward with the truth in regards to the matter. That model was dogged by issues, notably the months when many were returned because these wouldn't accept a NVIDIA GTX 970/980 GPU & it was all Dell's fault, not NVIDIA. Finally firmware was released to fix the issue, but the damage was done. Still, it was a long running model, over 2.25 years. And the XPS 8900 that replaced it was as bad, while they included a M.2 socket for those type of SSD's, it was a 2nd gen one, when the next (3rd gen) had been released two years prior. Customers received empty words of apology for their investment. It's the little things that are killing Dell, wouldn't have cost more than a dollar per PC to have a 3rd gen slot. And would have costed at the most, a couple of dollars to include twin 4 pin CPU power connectors, rather than a single, which starves the included i7's for power & induces random freezing (not a BSOD), everything freezes as shown.
While some of the 'refurbishers' makes their listing look good, all most are doing are cleaning the exterior, maybe blast a bit of air in the exhaust (w/out securing the fan), and I've had two that were nasty as crap within the interior. One of which I believe notebooks & autos were worked on in the same shop, because one of the RAM modules had a greasy fingerprint on the label which I took a picture of & carefully wiped off. Odd thing was, the green sticker on the bottom stated that it was refurbished at an 'authorized' Dell center. Of course, that could had been to the customer prior to myself.
While I was once a notebook enthusiast, mainly because had to have one as part of my prior employment until early 2006, eventually drifted to desktops, which are more solid, and one gets more hardware per dollar spent. Of course, if this is for work, then you may not have a say in the matter. By chance, I once had two notebooks that were very close in model to the Latitude you shown above, mine were the D610's, and prior to that, a C640. All were single core, 32 bit models. Today, you most certainly want 64 bit, as support for 32 bit are dropping as though hot coals. To be honest, was surprised to see a 32 bit Ubuntu 16.04, and will be shocked out of my pants come two more years to see a 32 bit 18.04, because it costs hard cash to upkeep these on the software level to a shrinking user base that cannot be denied.
I don't make the last sentence above lightly, over 7 years back when Windows 7 was released, close to 15-20% of the Topics were about 'should I go with 32 or 64 bit'. Once Windows 8 was released in 2012, there were few such questions, and it was recommended beginning with Ubuntu 12.04 & Linux Mint 13, if one has 64 bit hardware, then install that OS version. Prior to then, 32 bit was recommended to most everyone, I presume because a lack of driver database. That hasn't been the case for some time, by chance 2012 was also the year that Ubuntu & Linux Mint (same versions mentioned) had NVMe SSD support, long before many Windows users heard rumors of the technology (maybe mSATA at best). Again, this goes to show that Linux is widely used by professionals across the World.
As far as advice on what to get, if used, no need to spend a pile of cash, otherwise you'll be wishing you had want to the nearest Walmart (or similar retailer) & purchasing one of their lower end computers, as long as not Acer/Gateway, for a USD value range of $288-348, converted into your currency. At least you'd have an OEM warranty, and may be offered a 2 or 3 year warranty at point of sale (usually 3 year if from the Internet).
Other than that, all I can suggest is to ask around, maybe you have a relative or friend with a slightly older, yet still 64 bit notebook that you could get at a bargain price.
Good Luck with finding one that's right for your needs!