The T410s come with either an i5-420M or and i5-440M according to Lenovo. Like @JonneKebab.com said, the hard drive is going to be one of the biggest downsides. I personally haven’t had good experience with Lenovo (Y70-70 Touch from 2015) but I’ve been around some people who think they’re some of the best computers around.
There’s a decent age difference between mine and the ones you’re looking at along with the intended purposes, but from what I dealt with, the computer overall was built very decently (I dropped it on my desk once and dented the desk). Speakers were top-of-the-line, keyboard felt nice to use, generally stable and consistent performance. I ran into some major issues though. The laptop had a defective screen, very poor battery life (it is still close to original capacity after five years though), useless touch pad, failing hard drive, and insane cooling issues (90-100°C under a regular load).
Five years ago, you’d get a half-decent, half-nightmare laptop for $1200 from Lenovo’s gaming side of things. I’m not sure what the older Thinkpads would do but I’d research some common issues and defects if you’re set on buying one.
With the CPU, at best it’ll run between 2.4 and 3 GHz and it is a dual-core processor with four threads.
For memory, you won’t have a lot but you will have more than now, basic tasks will work but gaming performance will likely be on the poorer side (that’s ignoring the integrated graphics it comes with)
Storage isn’t amazing but for some people that’ll work. Do consider the fact that unless hard drive speed is specified, you’ll likely have a much slower 5400 RPM model if these T410s are cheaper models.
If you absolutely need an upgrade of any kind and the price is very decent, consider buying one. We don’t know what kind of prices they have but you’re looking at 10 year old computers here so you shouldn’t expect to get too much out of them. With the two laptops I’ve had in the past, both of them lasted maybe five years from the time they were bought to the time they became too weak to keep up with daily life (last laptop had near-complete loss of performance from overheating).
Overall, for a price unknown to us, you’re switching to a computer four years older than what you currently have for twice as much memory and according to Userbench, a CPU that theoretically has 2-3x better performance. If you want us to give any other opinions, consider throwing out the prices of the systems.