The only type of visa you can apply for is a visitor visa
Its a bit of a lottery and what you will have to demonstrate in the application is Money in the bank to support yourself in the UK over some months of your visit . if you have a property in the Phils this can help they are looking for YOUR compelling reasons to return to the Fils after your visit
The fact that you have other visa,s on your passport can help this if you have never overstayed your boyfriend can help you with the form filling from the Brit Embassy website and if there are any specific questions of course ask them here if you cant find them in the search function
Its a question of luck mostly and its the least expencive visa to apply for all the best
