Sorry - your topic seems to have got missed in the shuffle.
A quick look around reviews for Titanium Security show that it is well thought and considered effective, so long as it is kept up to date, but that goes for any security software.
Malwarebytes is also considered highly effective, and again you need have no qualms about updating it. Every time you run it you are prompted to update the DAT file and they do bring out an improved 'engine' from time to time. You need to be aware that Malwarebytes exists in two forms - paid and free. both versions are equally good at rooting out malware when scanning. The difference is that the free version is an 'on demand' scanner - it only runs when you run the program - while the paid version acts in real time to provide continuous malware scanning.
There are a number of reasons that computers slow down - or at least appear to - with the passage of time. First of all, you accumulate more applications all of which try to load at start up, secondly, unless you clean them out from time to time temporary files build up and clog up your computer. I use Piriform's Ccleaner for this and you can get it as a free download from BC, here -
You are NOT recommended to use the registry cleaning tools in Ccleaner, see this image -
You can control what starts at start up by clicking 'Start' and then RIGHT clicking on 'Computer'. From the pop-up menu select 'Manage'. In the screen that then appears, in the L/H panel at the bottom you will see 'Services and Applications', expand this so you can see 'Services' and select it. In the screen that appears you can set the start up type. Use common sense and discretion here. Obviously, Windows applications have to start automatically, equally, the Adobe Reader can be set manual so that it starts when you need it.
If you have the free version of Malwareytes update it when asked to and run it from time to time, weekly is a good idea as a reasonable mininum. That and Trend Micro should keep your system secure, Ccleaner will get rid of temporary files and you can control what starts when you start up the computer.