Changing a laundry room to a downstairs shower.

We have a utility room downstairs in our house that we are looking to convert to a shower.

We have a downstairs toilet (sink, toilet and towel radiator). At the back are double doors that have a bit of storage space and a second washing machine.

We would like to fit a shower here.

Would we be able to use the connections for a washing machine for an electric shower?

Eg the same cold water supply and waste pipe and power?

And how difficult would it be? I'm pretty handy but know nothing about plumbing.

Any help appreciated.