海外旅行が好きだけど子供が生まれてからは行けていません。って英語でなんて言うの？

"Traveling abroad" is the gerund form (動名詞）of "To Travel Abroad" （海外に旅行する）and can be used to represent the word 「海外旅行」in English. 「生まれたから」uses the 「動詞〜から」ending which can be written as 「"since" +subject (主語) + a past tense verb(過去形動詞)」or as 「"after" + V+ING」 "Overseas" and "Abroad" are generally used to represent somewhere outside of your country but "overseas" more specifically means somewhere on a different continent.

The uise of the word 'exploit' in the first sentence is slightly humorous. Most holidays are concluded without any daring adventure! Exploit - a bold or daring feat, deed, act, adventure, stunt, escapade, manoeuvre, enterprise, undertaking, move; achievement, accomplishment, attainment, triumph; handiwork. "Despite a series of colourful exploits, his agents obtained little information of value." To cust back on something means to reduce its frequency: "I've cut bnack on smoking for health reasons."

"I love to travel but I have not been able to do this since my child was born." This explains to the person that you really enjoyed travelling but you have not travelled since your child was born. "My hobby used to be travelling but I have not been able to do it since my child was born." This tells the person that you used to travel in your free time but you have not been able to travel since your child was born.

Your love for travelling has not changed since your baby was born, but your circumstances have changed and so now it is no longer possible. So you are still letting the listener know you enjoy travelling by using one of the above sentences, but it explains why your are no longer able to. I hope that helps.

The first phrase is natural in implying that you no longer go traveling. We say 'so much' so explain that you still do travel but you are limited on the amount of visits and locations because you have had a baby. When we put something aside, it means we don't do it so much but we plan on coming back to it. For example, 'I've put healthy eating aside for the month because it's Christmas'.

If you enjoy doing something then you can say you 'love' to do it If something is not easy to do it is said to be 'hard' you can explain 'you haven't been able to do something much' as well

You can express your love for traveling and then explain that you have been unable to do it as much since having your baby. E.g. I love traveling but having a baby makes it a lot more difficult.