You'll have to suck it and see. Running old software on a new computer is always a risky business and the answer ranges between 'no problem at all' to 'massive waste of time and money'.
Trouble is that 32-bit desktops and laptops are obsolete. During the last 20 years+ processors, operating systems and applications have all moved step by step in stages from 32-bit to 64-bit technology. During the transition a lot of effort was put into maintaining backwards compatibility, typically over no more than 3 steps. Unfortunately these measures were intended to give people more time to make the transition: they we're never designed to keep old software going forever.
If you're lucky, it will 'just work'. Or not! Don't be surprised if you plunge into difficulties with memory models, device drivers, and peripheral incompatibilities.
The simplest solution is to replace your old equipment with exactly the same – if you can find one! Failing that something similar.
A more complicated answer is to host your old software and operating system on a Virtual Machine running on a new computer. The Virtual Machine allows one operating system to host another operating on the same computer; thus Windows 10 host Windows XP. Outside the VM it's 2018, inside it's 2001. No guarantees it will work and it can be complicated to set-up.
Professionally we avoided getting into situations like this because the uncertainty makes providing a service unpredictable. Instead all computer systems came with an through-life plan, which – in theory – ensured that money would be budgeted and wheels set in motion to replace the system before it died of old age. Unfortunately this means getting on the upgrade treadmill, which is annoying and expensive when old software does all that's needed with minimum fuss. Until something goes wrong!
Dave