Is there anything that the Reddington doesn't do for you that you want to improve upon? Reddington is still a good brand. The entry kits are slow action but typically forgiving when chucking line. The line they come with is usually advertised as a Rio line but its very low end. Just throwing a better quality line on your kit can make a big difference.
What weight is your kit? 5wt? Maybe an 8'6 length? Its a all around good combo. You may want to try something in a 3wt, a little lighter to present small drys on smaller water better. I honestly carry much 3wt on all the streams in Southern AB. I use the 5 for bigger main waters and a 7 for bigger stuff. I went with a 3/5/7 set up, but some people will go with a 4/6/8. Some people need to have one of every weight
Maybe someday I will add a 4wt.
As far as brands go, well I am not brand loyal though I treated myself to a wonderful Sage Accel last year and honestly I wonder how I ever chucked line with anything less. Do I catch more with it? Jury is still out on that. To some people thats just a regular rod at its price point, to me, its a rod I figure that will last me a lifetime. Its likely best to drop into some place like Fish Tales, or even the Fishing Hole and talk to the staff, tell them what you are looking for and go out and cast it with them. Only you will know what feels good in your hands. Dont cheap out on line though, but getting the right line for the rod can be important.
Something else you want want to look into is a casting class. I can chuck line, spend a few minutes with someone who can teach you a thing or two and its amazing how much better your presentation can be.