Looking to move but have had mortgage arrears in the past

Looking for some information.

My wife and I are looking to move house but I have had a bad credit history until last year when I have my wife full control. I missed 5 mortgage payments but brought them up to date on the 6 month. This was in April of last year and we are looking to move into a bigger house. We have paid off everything that we don't need and closed the accounts but our scores are still low but getting better.

So would lenders not look at us because of the past. Payments have been on time on most accounts since there have a 2 missed payments in the last year.

Thanks