The winger penned a three-year deal with the champions last month but after Ibrox chiefs were able to thrash out a deal with Swedish club Orebro, Bedoya has been given the go ahead to move to Glasgow this summer instead of January.
The American sought words of advice from Maurice Edu and ex-Ger DaMarcus Beasley but it is in the footsteps of former Light Blue hero Reyna that the 24-year-old wants to follow.
Bedoya said: "I spoke to Mo the most. The interest from Rangers had been going on for a while, and Mo and I would text.
"I would ask a lot of questions. I talked to Beas a little bit, and through my agent I was able to speak with Claudio Reyna. He is a well-respected player and someone I looked up to, and he was a key player for Rangers. He had nothing but positive things to say. If I can be half of what Claudio was at Rangers, it will be a success."
Bedoya has been left frustrated that his dream move has stalled in recent days as red tape halted his transfer.
The American requires a work permit and visa to play in Scotland and has been unable to join up with Ally McCoist's side until the paperwork is complete.
And the States star hopes he can hit the ground running when he is finally given the green light to start his Rangers career.
He said: "I've been packing up my apartment and dealing with moving, and at the same time trying to get over to Rangers as soon as possible.
"The club has been working hard to help with the visa process, which has taken a lot longer than it was estimated.
"Hopefully it comes through today or tomorrow at the latest. I just want to get over there and start training and meet the players. I'm excited to get going as soon as possible."
Bedoya caught the eye of McCoist after a string of impressive performances for the USA during this summer's Gold Cup.
His move to Ibrox has been on the cards for some time after McCoist made his first move to sign the American star in July.
He is set to finally complete the paperwork formalities on his switch from Sweden and has spent his time on sidelines wisely, reading up on Rangers' past glories.
He said: "I've been learning about the history of the club. I hadn't been there before the day I went to sign the contract, so it's all new.
"I've only seen the Old Firm derby on TV. You get an idea of what it's like, but you can never know until you experience it.
"That's definitely one of the things I'm most looking forward to. And I'm not wearing green! Those boots that I wore in the Gold Cup are long gone. I now have white and blue ones, which are perfect for Rangers."
While Bedoya has had to wait patiently for the chance to make his Rangers bow, fellow American Carlos Bocanegra made his debut against Maribor last week.
And the tricky wideman is relishing the chance to star alongside his Stars and Stripes team-mates.
Bedoya said: "I remember when Carlos signed I was on the computer and saw the news. I congratulated him, and I spoke with Mo about it.
"Having three Americans there will make the transition easier. Carlos is the captain of the national team and is a leader, and there's still a lot to learn from him. Hopefully this will be good for the club."