ok, my answer is going to have 2 parts:
1) i wouldn't even bother putting a TC on that lens because the quality would be VERY bad so you might as well just crop the image to get closer. my advice is to save a bit and but a good quality lens and then get a TC to help out as needed. also mind you that for birds, you will need all the reach you can get so even with a tc, you will find yourself needing more which brings me to my next point...
2) there is no substitute for good birding skills. you can have a 1000mm lens and you will still find yourself out of reach if you do not know your subject and know how to get physically closer. mind you that i own a 500mm lens with a 2.0 teleconverter and even still, i have to rely on my skills to get the shots that i want. my best advice i can give you is to spend time studying the birds that you think you will find in your area and also practice hunting skills that will allow you to stalk the subject rather than counting on him getting to you. there are many items that can help you do that like hides, camo cloths etc.. but the bottom line is that you will need to know how your subject behaves and then you will be able to get to a shooting distance. all too often, people assume that if they buy a long lens, they will be able to get intimate portraits of birds even though the reach of a 500mm is really not that long in real life. for example, when i first started doing bird photography, i was trying to shoot Black Crown Herons with very little success with my 70-200. no matter what i did, i just couldn't get close enough. then, i decided to simple go to the same spot every day and just observe the birds and see if i can either get them to get used to me or find some sort of way to approach them. well, after about a week, i was able to get so close to them that i could take shots with my 50 1.8 and it is all because i knew how and when they did certain things and i also knew whats the best way of approaching them without scaring them off. the same thing happen to me with a red tail hawk that i just couldn't get close enough to until i learned his behavior and then i was not only able to find him very easily but also get very intimate shots.
here are a few examples for you:
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