This one wasn't simple for us, as the utter tard in the home office didn't know where home was. You are not based in Northern Ireland so shouldn't have an issue, if you are close to one of the visa centres I'd advise colating your stuff, and you and your wife taking the more expensive option of doing it with interview on the day.
Send the marriage cert, the bank statements and the other things they ask for.
This was the one we had difficulty with as the person in the home office thought Belfast was no longer part of the Uk, and asked me to start to prove I'd actually been in the Uk myself, she had no issues with my wife's side of the application. It was utter insanity, and in he end I had to get the local MPs office to ring the home office, they spoke with her supervisor and assured the department that Northern Ireland remains within the UK.
When they speak of waste in govt offices and money being spent employing people who are not doing they job, i can think of one lady I'd sack on the spot.
I sent 5 years tax records, it wasn't asked for initially, but then I had to to prove I had been in Uk and paying taxes. I sent bank statements for 5 years. I also sent a letter detialing each thing we sent, we numbered each section, and stapled each section together, referenced each in the letter, so it would leave it easy for them to go down the tickboxes on their list and check things off.
I must be honest, it is hard to recall all i sent, as it ended up being documents totaling 6 inches thick, the initial application which was all that was physically required was half an inch thick.
When we completed our 2 years, and then had to prove we were still married and similar stuff, we found that each, as we'd retained every bit of post myself my wife and our names joinly had. Suggest you start saving up over the 2 years, at that stage they will issue indefinite leave to remain, which is basically PR.
We sent joint bank account statements, letter from accountant addressed to both, letter from dentist, letter from our doctors practice, all addressed to both. Electricity bills to both of us. We couldn't send jointly named phone bills, as phone companies now appear to refuse to have 2 names on letters, so they know who to sue if it all goes pear shaped. I also refused to get any electronic statements during the 2 year period, as the HO insist on original paper bills, even thought the world has gone electronic.
We also sent some nice embassy invittaions for some meals and cultural functions we were both invited to during the period of time, and again backed it up with a personal statemtn, which is worth nothing, but sets the scene, saying we had been married, lviing togtehr, working away, and that my wife was at that stage expecting (now ba's born) and so on and so forth.