The main reason behind such problems is too many start-up tasks start when windows starts. Especially bloat/cr**ware.
If you purchased your machines at a big box store they will usually also place adware onto the machine.
Here is a link to help with your HP that you have listed: Which HP Bloatware can be removed?
And it wouldn't hurt to up your RAM.
Can you give more SystemSpecs to the new AMD?
Thread to help determine:
What programs are absolutely necessary on start up?
Startup Programs - Change