Echoing what
@Phaeton said, it should be straightforward.
My advice, for what it's worth.
After my mother's death, a copy of "What to do when someone dies" was a useful checklist - now it's probably online
here. Use official guidance, not a commercial site.
Keep written records of everything you do as executor.
Decide how many copies of the death certificate you need, and add at least two.
Set up a spreadsheet to keep track of assets, liabilities (including your expenditure on funeral costs, death certificates, probate and incidentals) and distribution details (should be simple in this case).
Open a bank account in the name "Exors of <deceased name>" and use it for all transactions in relation to the will.
Decide how many copies of grant of probate you need, and add at least two.
Probate officials are, in my experience, sympathetic and very helpful.
Go for it; it's not particularly difficult, and you'll save the estate a fortune by not involving a solicitor.
My experience, long story you can afford to skip, but confirmation that the process doesn't need to involve professionals.
My mother's will named me and my eldest brother as executors; he wanted nothing to do with it, but I decided to take it on myself. It was considerably more complex than your case, with 12 main beneficiaries, 7 of them living abroad, in Canada, Antigua and Singapore, and 11 pecuniary beneficiaries (i.e. to receive specified, but relatively small monetary amounts). Due to the length of time since her will was made, inflation had reduced the real value of the pecuniary amounts, so after discussion with my two surviving brothers I decided to uprate the amounts in line with inflation. The probate officer raised no objection, but I needed the agreement of those beneficiaries who would suffer detriment. I wrote to them detailing the small amount of detriment and seeking their written consent or refusal, and putting it bluntly that if they didn't consent I'd let a solicitor act as executor and they'd almost certainly end up with less. What a bully! Most consented quickly, but three nephews in Canada disn't respond one way or the other and I had to get other Canadian beneficiaries to put the hard word on them. In the meantime, one of the pecuniary beneficiaries, my mother's ex-neighbour, had died, so I was sorely vexed. They won't be named in my will. Anyway, it all worked out in the end, even though it could and should have been easier.
