I don't use 'umat' myself but I'll accept what patrickj says there. Here is how I would say those phrases, Luke:

Bain díot do chóta. [Bainigí díobh bhur gcótaí. for children' plural.

Caithfimid do chóta a bhaint díot ar dtús. [Caithfidh sibh bhur gcótaí a bhaint díobh ar dtús = Ye have to take off ye're coats first].

Cuir do chóta ort. [Cuirigí oraibh bhur gcótaí. for children]

Cuir do lámh tríd an gcrios. [Cuirigí bhur lámha ... if speaking to more than one - unlikely in this instance I suppose]

Caithfimid ceist a chur ar do mhamaí faoi sin. [Iarr ar do mhamaí lón a dhéanamh duit = Ask your mammy to make a lunch for you. (Iarr is used for a request as opposed to putting a question)].

An bhfuil tú ceart go leor i gcúl an ghluaisteáin /i gcúl an chairr. [An bhfuil sibh ... if there is more than one].

Ceapaim go bhfuil sé sin ceart go leor. [or leave out the 'sé' if you like].

The best resource for these types of phrases (and many many more) when dealing with kids is 'Gaschaint'. It's expensive to buy as it has 6 cds (2 for each dialect) but it is simply excellent. Maybe check your local library or ask them to order it in. It really is the best, with native speakers saying the phrases - of course you don't need to learn all 3 canúint but just pick one and stick to it (although it's a bonus to have those other cds too to listen to as a learning/listening resource at a more advanced stage of your learning).

Sin a bhfuil agam.

I crossed with Weefalorieman there who also has umat. I'm going to bring that into my speech if I can at all. Go raibh míle maith agaibh!

Yes, and he's right that casóg is a better word in Munster Irish.

I believe casóg is a shorter version - a jacket, patrickj.
But, if the great song is anything to go by, they had cótaí móra down Skibereen way in any case:

And you were only two years old and feeble was your frame
I could not leave you with my friends for you bore your father's name
I wrapped you in my cóta mór in the dead of night unseen
I heaved a sigh and bade goodbye to dear old Skibbereen



Tá leagan Gaeilge den amhrán sin ar fáil freisin ar ndóigh.

Someone once told me - true or not - that cóta should mean petticoat in Munster Irish - cóta mór wouldn't mean petticoat of course, and would be normal... But I expect cóta is accepted due to influence of other dialects etc

I'd agree with patrick and WeeFalorieMan, cóta = petticoat in Munster. Casóg is coat.
The only other meaning for cóta is that it is understood as the word for coat in the other dialects, but I have never heard it used. Jacket is quite often Seacaid.

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The dialect I use is Cork Irish.
Ar sgáth a chéile a mhairid na daoine, lag agus láidir, uasal is íseal

A Luin Duibh - you could test out the theory by offering to help beautiful young ladies out of their cótaí. Let us know what results your research gets.

A Loin Dhuibh, don't listen to patrickjwalsh – he's gonna get you in trouble!

I did ask the owner of a B&B what it meant once, since I had heard this before,and she told me that it sounded funny, as in her mind it meant bodice or petticoat. I'd say that, today, most interpret it as the word other dialects use, but I have seen a few Munster speakers laugh a bit at it.

I can imagine the first few learners coming to An Blascaod Mór and asking Ó Criomhthain "A Thomáis, tá leoithne fhuar díreach tr'éis teacht aniar aduaidh ar an oileán, an bhfuil cóta agat?"

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The dialect I use is Cork Irish.
Ar sgáth a chéile a mhairid na daoine, lag agus láidir, uasal is íseal

So I take from that I have not made too many mistakes I know I have a lot of bad habits but I do actually understand more than you guys might think

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Caithimíd dul siar chun teacht aniar.