It really depends. The UK government is now enacting a visa system based on points. I am not familiar with it but I am sure you will find information about it in the UK's Home Office web site.

The Home Office is the ministry responsible for immigration in the UK.

Just in the off chance, if you have recent European ancestry you may qualify as citizen for a number of EU countries, which would allow you to work anywhere in the EU, that is something worth keeping in mind in the remote chance it amy apply to you (or your wife!).