user1615: My available methods of payment would be laser(Ireland debit card scheme), mastercard, visa or a bank transfer. 
I'm a beginner user in Ireland.
I'd also prefer not to have to verify my account with a photo ID. 
I won't be spending large sums of money either so the cheaper the better, and the money will be spent pretty much instantly so i'm not too worried about having THE most secure option if it means i'd have to pay more. 
Thanks! 

user1580: As you are not wanting to get verified by ID, the Mt.Gox option is not possible. 
This page would provide you some information:
http://www.btcwallet.org/contact/fill-up-your-wallet-buy-bitcoins-option-one/
This 1. option is trading which is quite dangerous, you´d better read this before: 

http://wiki.bitcoin-otc.com/wiki/OTC_Rating_System
http://wiki.bitcoin-otc.com/wiki/Using_bitcoin-otc%23Safety:_avoiding_fraud

And the similiar way but I think the easier one would be bitcoinary
But firstly you should check if there is someone near you at localbitcoins
You might also consider using up your EUR account and then using SEPA to deposit to bitstamp, which is probably best europe exchange with good support. 

user7104: Eircoin.net is one option I used before. The response was prompt and the whole transaction (despite a mistake on my part) went almost instantaneous. 
Localbitcoins is another possibility if you want to trade in cash within your neighbourhood.

user5657: https://quickbitcoin.co.uk/ are based in the UK, and accept bank transfers from any bank within the faster payments network - that includes many Irish banks.

user1622: I've been using Intersango's service lately, and am happy with it. You can deposit by SEPA bank transfer, no ID required.

1615: <p>My available methods of payment would be laser(Ireland debit card scheme), mastercard, visa or a bank transfer. 
I'm a beginner user in Ireland.
I'd also prefer not to have to verify my account with a photo ID. 
I won't be spending large sums of money either so the cheaper the better, and the money will be spent pretty much instantly so i'm not too worried about having THE most secure option if it means i'd have to pay more. </p>

<p>Thanks! </p>
 1580: <p>As you are not wanting to get verified by ID, the <a href="https://mtgox.com/" rel="nofollow">Mt.Gox option</a> is not possible. </p>

<p>This page would provide you some information:
<a href="http://www.btcwallet.org/contact/fill-up-your-wallet-buy-bitcoins-option-one/" rel="nofollow">http://www.btcwallet.org/contact/fill-up-your-wallet-buy-bitcoins-option-one/</a>
This 1. option is trading which is quite dangerous, you´d better read this before: </p>

<ol>
<li><a href="http://wiki.bitcoin-otc.com/wiki/OTC_Rating_System" rel="nofollow">http://wiki.bitcoin-otc.com/wiki/OTC_Rating_System</a></li>
<li><a href="http://wiki.bitcoin-otc.com/wiki/Using_bitcoin-otc%23Safety:_avoiding_fraud" rel="nofollow">http://wiki.bitcoin-otc.com/wiki/Using_bitcoin-otc%23Safety:_avoiding_fraud</a></li>
</ol>

<p>And the similiar way but I think the easier one would be <a href="https://www.bitcoinary.com/" rel="nofollow">bitcoinary</a></p>

<p>But firstly you should check if there is someone near you at <a href="http://localbitcoins.com" rel="nofollow">localbitcoins</a></p>

<p>You might also consider using up your EUR account and then using SEPA to deposit to <a href="https://www.bitstamp.net/" rel="nofollow">bitstamp</a>, which is probably best europe exchange with good support. </p>
 7104: <p><a href="http://eircoin.net" rel="nofollow">Eircoin.net</a> is one option I used before. The response was prompt and the whole transaction (despite a mistake on my part) went almost instantaneous. </p>

<p><a href="https://localbitcoins.com/" rel="nofollow">Localbitcoins</a> is another possibility if you want to trade in cash within your neighbourhood.</p>
 5657: <p><a href="https://quickbitcoin.co.uk/" rel="nofollow">https://quickbitcoin.co.uk/</a> are based in the UK, and accept bank transfers from any bank within the faster payments network - that includes many Irish banks.</p>
 1622: <p>I've been using <a href="https://intersango.com/" rel="nofollow">Intersango's</a> service lately, and am happy with it. You can deposit by SEPA bank transfer, no ID required.</p>
