It's not rocket science, but can be quite fiddly the first time you do it. Invest in a good chain splitter and riveting tool (for the new rivet link) as it will make your life so much easier.
A centre stand or paddock stand will make your life easier too if you have them, and of course a bike lift is a luxury if you have one available.
As a rule I usually replace all sprockets with a chain, an extra 30 quid on the job for piece of mind and not having to look at it too much. As long as the sprockets aren't "hooked" then they should be OK.
I don't have an impact gun to get the front sprocket nut off, so I use a broom handle through the back wheel and a willing volunteer standing on the back brake. One tip, when you break the old chain keep it handy, put the new sprockets on and then put the old chain on to tighten the front sprocket nut, then you
're not stretching the new chain