I'd say the banks would be happy to see you coming in as you are in a pretty strong position. Few things to bear in mind:
- if you hold onto your existing property, what kind of mortgage is on it? If is tracker, you are unlikily to say on it at the same rate as many bank would see it as an investment property & up your rate accordingly. You may be better looking at a different bank - but I'm not sure of the consequences of net declaring to the bank of the property is no longer your PPR.
- With savings of €150k, you would be looking at getting a mortgage with a fairly low LTV ratio, plus you have a good income, I reckon you should be able to get a 2nd mortgage pretty easily.
Do consider what is involved in being a landlord & the hassles:
- regulations (PRTB, 2nd home property tax, tax implications, BER rating etc)
- hassle with bad tenants (can put the most hardy landlord off)
- 2nd home to maintain, insure, clean (for relets),
- CGT will be due if the property raises in value
Do you know anyone who is a landlord? Have a chat with them and be sure you have the personality do do the job - it doesn't suit everyone