If they turn you down for a job because of your tattoo, you will never know the real reason.
I am fairly sure you will be able to get them removed on the NHS but there is sure to be a long waiting list, so best to get your name down now. I think it is quite a quick procedure so you might even be able to go privately.
I would definitely get them removed, they will have a negative affect on your career: from the receptionist at the front desk of the airline, to your first training captain, to the cabin crew passing you your coffee. It will give a bad impression and we all need everything possible going for us in this line of work.