The free-scoring midfielder had been offered a new deal at Cappielow but opted to reject that in favour of a two-year part-time contract with Ballymena.
And Jenkins, 29, is confident he has made the right decision to move on - as the terms on offer were superior to those proposed by Ton.
Jenkins told the Tele: "I spoke to Morton and the gaffer said he wanted to keep me and offered me a one-year deal.
"As anybody would, I wanted to see what everybody else was saying and they made me a better offer than Morton. That surprised me slightly, but it was a pleasant surprise.
"Morton were offering me a substantial wage cut and when I weighed everything up I decided to go elsewhere.
"I had to look at football as being a job, especially in these times as I have a family to support, and they made me a better offer.
"It's weird given the offers that were made, full-time and part-time, and it was strange that this was a part-time offer but was still a better offer than Morton's.
"I will be looking to get a job - I would like to join the police but that not might be an option right now, and I would also like to do community coaching again."
This is the first time Jenkins will ply his trade outside Scotland - having enjoyed spells with Stranraer and Gretna prior to joining Ton.
But the midfielder is looking forward to the change of scenery having achieved as much as he can in the Scottish game.
He said: "I'm fortunate in that I've won all the leagues I would have a chance of winning - the first, the second and the third divisions.
"I'm never going to win the Premier League as I would imagine the chances of me playing for Rangers or Celtic are very, very slim!
"But also I've had 13 years in Scottish football so why not to give it a go, look at it as a new challenge and take a wee step into the unknown."
Jenkins served Ton for three and half years and was pleased he could bow out after a season which brought notable personal success.
He added: "I finished on a high with winning the player of the year awards - it's a great club and I would never say a bad word about it.
"It's a shame when you leave a club and the people in the background like Mark the groundsman, wee Andy the kitman, Gillian Donaldson and the chairman, who I would like to thank very much, and obviously the gaffer and Mark McNally.
"But most of all I'd like to thank the supporters and wish them all the best and I'll certainly be keeping my eye out for Morton's results in the future anyway."