prepositions

I'm writing e-mail to my friend. can you correct my mistakes, please?
Which one is right?
1. I.m going to visit NY on (at) the end of (the) May.
2. both our husbands are on business trips, so we're "single-alike(s?)". BTW, single-alike, married-alike - are these combinations totally wrong? Generally, where is a plural form supposed to be in the combinations like those?
Thank you.

1. I'm going to visit NY in the end of May.
2. You could say "so we're single alike" (no hyphen), but that would sound kind of weird. It would be better to say "so we're both single".

Thank you.

I would say "at the end of May".

Well, "in the end of May" and "at the end of May" are both correct, but they have slightly different meanings. "In the end of May" is more general and means somewhere in the last several days of May. "At the end of May" is specific and means right on the end of May.

I would definitely say 'at the end of May'; 'in the end' means 'finally'

Guest wrote:"At the end of May" is specific and means right on the end of May.
So, "on the end" is correct too? all three are grammatically correct and just have slight nuances of meanings?? It's odd...

guest wrote:
It would be better to say "so we're both single".
But we are definitely not. We're just like.

No, you can't use "on the end of May". Either "in" or "at".

Just to add further clarification:

1) I'm going to visit my husband at the end of May.

You could probably get away with using the preposition 'in', however it does sound odd. People would understand, but I have never heard it used in that circumstance in my life.

2) Both our husbands are on business trips, so we're both single/ free etc.

Don't put the 'alike' in there at all.

Ben.

"But we are definitely not. We're just like. "

You could say "so it's like we're both single".

You could say, "Both our husbands are on business trips, so we're both single again" to inject a little playful humor into it.

I've never heard "IN the end of May". You can say "in the last part (or days) of May) if you insist, but not "in the end of May".

You could say "almost single" or if you don't like "it's like we're both single", but I think the second phrase is the better choice.

Can I say "toward the end of may"?

Yes.