「捨てる」は英語でどう言う？

I've felt the need for spring cleaning recently. One of my projects is throwing out things that I no longer need. My new rule is "if you haven't touched it for a year, you don't need it."

• All of today's definitions are from Eijiro on the Web.
• throw out 投げ出す、投げ捨てる

This is a bag of things that I'm getting rid of. Thanks to my bicycle, global warming, and being a vegetarian, this bag contains wool scarves that I can toss.

• get rid of 〔好ましくない物を〕取り除く、除去｛じょきょ｝す る、削除｛さくじょ｝する、排除｛はいじょ｝す る、廃する、駆除｛くじょ｝する、駆逐｛くちく｝す る、退治｛たいじ｝する、一掃｛いっそう｝す る、処分｛しょぶん｝する、始末｛しまつ｝す る
• toss ~ into a trash can ～をごみ箱［くず入れ］に投げ入れる［ぽいと捨てる］

Disposing of some things is tough. I have a collection of old batteries that need to be dumped because I still don't know where the special bin for them is in my building's garbage collection area.

• dispose of garbage ごみを捨てる
• dump 中身｛なかみ｝を）放出｛ほうしゅつ｝する ［ドサッとあける］、～を投げ捨てる、投げおろす、ドサッと降ろす、捨てる、放り出す、置きざりにする

I've already chucked about 10 percent of my personal belongings. I wonder how much more I can throw away.

• chuck out 駄目｛だめ｝にする、解雇する、捨てる、処分する
• throw away ～を投げ捨てる Throw this away. : これを捨ててください。／これ、捨てといて。／これ、ポイして。
• personal belongings 身の回り品、私物、身の回りのもの、所持品｛しょじひん

"Throw away" is the most common one, probably, but any of these can be used to say 捨てる.